Simplify the given algebraic expression-n 2 n -2-2 n 3 n -3-6 n n -4A- 2 n 4-7 n 3-8 n 2-24 nB- n 4-5 n 3-8 n 2-24 nC- 2 n 4-7 n 3-4 n 2-6 nD- n 4-5 n 3-4 n 2-24 n

The correct option is A 2n^4 + 7n^3 8n^2 + 24nn^2(n 2) + 2n^3(n + 3) 6n(n 4) (Using a^m× a^n = a^(m+n)) =(n^2 + 1 2n^2) + (2n^3 + 1 + 6n^3) (6n^1+1 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Multiplication of Any Polynomial

Simplify the ...

Question

Simplify the given algebraic expression:
$n^{2} (n - 2) + 2 n^{3} (n + 3) - 6 n (n - 4)$

2 n^{4} + 7 n^{3} - 8 n^{2} + 24 n

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

n^{4} + 5 n^{3} - 8 n^{2} + 24 n

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 n^{4} + 7 n^{3} - 4 n^{2} + 6 n

No worries! We‘ve got your back. Try BYJU‘S free classes today!

n^{4} + 5 n^{3} - 4 n^{2} + 24 n

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $2 n^{4} + 7 n^{3} - 8 n^{2} + 24 n$
$n^{2} (n - 2) + 2 n^{3} (n + 3) - 6 n (n - 4)$
(Using $a^{m} \times a^{n} = a^{(m + n)}$ )
$= (n^{2 + 1} - 2 n^{2}) + (2 n^{3 + 1} + 6 n^{3}) - (6 n^{1 + 1} - 24 n)$
$= n^{3} - 2 n^{2} + 2 n^{4} + 6 n^{3} - 6 n^{2} + 24 n$
(Grouping the like terms)
$= 2 n^{4} + 7 n^{3} - 8 n^{2} + 24 n$

Suggest Corrections

Simplify the given algebraic expression: n2(n−2)+2n3(n+3)−6n(n−4)

The correct option is A 2n4+7n3−8n2+24nn2(n−2)+2n3(n+3)−6n(n−4) (Using am×an=a(m+n)) =(n2+1−2n2)+(2n3+1+6n3)−(6n1+1−24n) =n3−2n2+2n4+6n3−6n2+24n (Grouping the like terms) =2n4+7n3−8n2+24n

Simplify the given algebraic expression:
$n^{2} (n - 2) + 2 n^{3} (n + 3) - 6 n (n - 4)$